Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 / / Lars Valerian Ahlfors, Lipman Bers.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Ahlfors, Lars Valerian,; Bers, Lipman,
• MitwirkendeR: Abikoff, Willaim,; Accola, Robert D. M.,; Ahlfors, Lars V.,; Bers, Lipman,; Birman, Joan S.,; Duren, Peter L.,; Earle, Clifford J.,; Ehrenpreis, Leon,; Farkas, Hershel M.,; Gardiner, Frederick,; Gehring, F. W.,; Greenberg, Leon,; Harvey, W. J.,; Hilden, Hugh M.,; Keen, Linda,; Kra, Irwin,; Lebowitz, Aaron,; Lewittes, Joseph,; Marden, Albert,; Maskit, Bernard,; O\x27Byrne, Brian,; Rao, K. V. Rajeswara,; Rauch, Harry E.,; Reich, Edgar,; Royden, H. L.,; Rüedy, Reto A.,; Satake, Ichiro,; Sibner, R. J.,; Strebel, Kurt,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [1971]; ©1971
• Year of Publication: 1971
• Language: English
• Series: Annals of Mathematics Studies ; 66
• Physical Description: 1 online resource (430 p.)

Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.

Table of Contents

• Frontmatter
• Preface
• Contents
• Some Remarks on Kleinian Groups
• Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces
• Remarks on the Limit Point Set of a Finitely Generated Kleinian Group
• Extremal Quasiconformal Mappings
• Isomorphisms Between Teichmiiller Spaces
• On the Mapping Class Group of Closed Surfaces as Covering Spaces
• Schwarzian Derivatives and Mappings onto Jordan Domains
• On the Moduli of Closed Riemann Surfaces with Symmetries
• An Eigenvalue Problem for Riemann Surfaces
• Relations Between Quadratic Differentials
• Deformations of Embeddings of Riemann Surfaces in Projective Space
• Lipschitz Mappings and the p-capacity of Rings in n-space
• Spaces of Fuchsian Groups and Teichmülller Theory
• On Fricke Moduli
• Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups
• On the Degeneration of Riemann Surfaces
• Singular Riemann Matrices
• An Inequality for Kleinian Groups
• On Klein's combination Theorem III
• On Finsler Geometry and Applications to Teichmilller Spaces
• Reproducing Formulas for Poincaré Series of Dimension -2 and Applications
• Period Relations on Riemann Surfaces
• Schottky Implies Poincaré
• Teichmülller Mappings which Keep the Boundary Pointwise Fixed
• Automorphisms and Isometries of Teichmilller Space
• Deformations of Embedded Riemann Surfaces
• Fock Representations and Theta-functions
• Uniforrnizations of Infinitely Connected Domains
• References